SOLUTION: Hi, I'm having trouble trying to simplify this radical expression the square root of 24a to the 3rd power. Please help thanks

Algebra ->  Radicals -> SOLUTION: Hi, I'm having trouble trying to simplify this radical expression the square root of 24a to the 3rd power. Please help thanks      Log On


   

Question 30922This question is from textbook Beginning Algebra w/MathZone
: Hi, I'm having trouble trying to simplify this radical expression
the square root of 24a to the 3rd power. Please help thanks This question is from textbook Beginning Algebra w/MathZone

Answer by acerX(62) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28%2824a%29%5E3%29
A square root is the same as raising a number to the 1%2F2 power,
ex sqrt%28r%29 equals r%5E%281%2F2%29
ex sqrt%283x%29 equals %283x%29%5E%281%2F2%29
so, sqrt%28%2824a%29%5E3%29 can be written as %28%2824a%29%5E3%29%5E%281%2F2%29
when you raise a power to a power you multiply the powers,
ex) %28x%5E3%29%5E%281%2F2%29 we do 3%2A%281%2F2%29=3%2F2 so the expression would be x%5E%283%2F2%29
so your question %2824a%29%5E%283%2F2%29 is the simplified answer